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Simplifying 8(2x + -1) = 4x + 16 Reorder the terms: 8(-1 + 2x) = 4x + 16 (-1 * 8 + 2x * 8) = 4x + 16 (-8 + 16x) = 4x + 16 Reorder the terms: -8 + 16x = 16 + 4x Solving -8 + 16x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 16x + -4x = 16 + 4x + -4x Combine like terms: 16x + -4x = 12x -8 + 12x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 12x = 16 + 0 -8 + 12x = 16 Add '8' to each side of the equation. -8 + 8 + 12x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 16 + 8 12x = 16 + 8 Combine like terms: 16 + 8 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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